Selfadjoint extensions of symmetric operators in degenerated inner product spaces

DOI10.1007/BF01294155zbMath0905.47026OpenAlexW2084286279MaRDI QIDQ1378115

Michael Kaltenbäck, Harald Woracek

Publication date: 4 March 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01294155

zbMATH Keywords

symmetryKrein's formuladegenerated inner product spacedescription of generalized resolventsextension problem of positive definite functions

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) Positive definite functions in one variable harmonic analysis (42A82) Linear operators on spaces with an indefinite metric (47B50)

Related Items (4)

Selfadjoint operators in S-spaces ⋮ The structure of linear relations in Euclidean spaces ⋮ G-Self-adjoint Operators in Almost Pontryagin Spaces ⋮ Symmetric matrices with respect to sesquilinear forms

Cites Work

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• Nevanlinna-Pick interpolation: The degenerated case
• Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions
• Degenerate interpolation problems for Nevanlinna pairs
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume \(\Pi_k\). zusammenhängen. II. Verallgemeinerte Resolventen, u-Resolventen und ganze Operatoren
• Über indexerhaltende Erweiterungen eines hermiteschen Operators im Pontrjaginraum
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
• An Operator Theoretic Approach to Degenerated Nevanlinna‐Pick Interpolation
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)

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